Spaces of coinvariants and fusion product I. From equivalence theorem to Kostka polynomials

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dc.creatorFeigin, B.
dc.creatorJimbo, M.
dc.creatorKedem, R.
dc.creatorLoktev, S.
dc.creatorMiwa, T.
dc.date2002-05-31
dc.date2002-10-08
dc.date.accessioned2026-07-07T09:21:16Z
dc.date.available2026-07-07T09:21:16Z
dc.descriptionThe fusion rule gives the dimensions of spaces of conformal blocks in the WZW theory. We prove a dimension formula similar to the fusion rulefor spaces of coinvariants of affine Lie algebras g^. An equivalence of filtered spaces is established between spaces of coinvariants of two objects: highest weight g^-modules and tensor products of finite-dimensional evaluation representations of g\otimes\C[t]. In the sl_2 case we prove that their associated graded spaces are isomorphic to the spaces of coinvariants of fusion products, and that their Hilbert polynomials are the level-restricted Kostka polynomials.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/math/0205324
dc.identifierhttp://arxiv.org/abs/math/0205324
dc.identifierDuke Math. J. 125 (2004), no. 3, 549--588.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154966
dc.subjectQuantum Algebra
dc.subjectCombinatorics
dc.subjectRepresentation Theory
dc.subject17B65
dc.titleSpaces of coinvariants and fusion product I. From equivalence theorem to Kostka polynomials
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